Beyond Mathematical Morphology

G. X. Ritter; J. L. Davidson; J. N. Wilson

doi:10.1117/12.976514

13 October 1987 Beyond Mathematical Morphology

G. X. Ritter, J. L. Davidson, J. N. Wilson

Proceedings Volume 0845, Visual Communications and Image Processing II; (1987) https://doi.org/10.1117/12.976514
Event: Cambridge Symposium on Optics in Medicine and Visual Image Processing, 1987, San Diego, CA, United States

Abstract

We present an algebraic structure, known as the AFATL (Air Force Armament Technical Laboratory) Image Algebra, that is capable of expressing all image-to-image transformations. After presenting a brief overview of the operands and operations of the algebra, we show how a subalgebra of the full Image Algebra generalizes the theory of mathematical morphology. We provide examples which include 1) morphological operations expressed in the algebra, 2) Image Algebra algorithms not expressible in terms of morphological operations, and 3) a fractal target detection algorithm expressed in terms of the Image Algebra.

Citation Download Citation

G. X. Ritter, J. L. Davidson, and J. N. Wilson "Beyond Mathematical Morphology", Proc. SPIE 0845, Visual Communications and Image Processing II, (13 October 1987); https://doi.org/10.1117/12.976514

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